Answer:
m∠1=114
m∠2=66
Step-by-step explanation:
First, let's find the m∠2
∠2 is inside a triangle, and the angles in a triangle must add to 180 degrees.
So,
55+59+∠2=180
Add 55 and 59
114+∠2=180
We are trying to find ∠2, so we have to get it by itself.
114 is being added on to ∠2. To undo this, subtract 114 from both sides.
114-114+∠2=180-114
∠2=66
Now we know the m∠2, but we still have to find m∠1.
∠2 and ∠1 are on a straight line. This means they are supplementary angles and add to 180 degrees.
∠1+∠2=180
We know that ∠2 is 66, so we can substitute it in.
∠1+66=180
66 is being added onto ∠1. To undo this, subtract 66 from both sides.
∠1+66-66=180-66
∠1=114
